000133139 001__ 133139 000133139 005__ 20240322124130.0 000133139 0247_ $$2doi$$a10.1016/j.jpaa.2023.107543 000133139 0248_ $$2sideral$$a137825 000133139 037__ $$aART-2024-137825 000133139 041__ $$aeng 000133139 100__ $$0(orcid)0000-0002-1945-186X$$aMontaner, Fernando$$uUniversidad de Zaragoza 000133139 245__ $$aJordan 3-graded Lie algebras with polynomial identities 000133139 260__ $$c2024 000133139 5060_ $$aAccess copy available to the general public$$fUnrestricted 000133139 5203_ $$aWe study Jordan 3-graded Lie algebras satisfying 3-graded polynomial identities. Taking advantage of the Tits-Kantor-Koecher construction, we interpret the PI-condition in terms of their associated Jordan pairs, which allows us to formulate an analogue of Posner-Rowen Theorem for strongly prime PI Jordan 3-graded Lie algebras. Arbitrary PI Jordan 3-graded Lie algebras are also described by introducing the Kostrikin radical of the Lie algebras. 000133139 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-23R$$9info:eu-repo/grantAgreement/ES/MCINN/PID2021-123461NB-C21 000133139 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/ 000133139 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000133139 700__ $$aPaniello, Irene 000133139 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000133139 773__ $$g228, 4 (2024), 107543 [18 pp.]$$pJ. pure appl. algebra$$tJOURNAL OF PURE AND APPLIED ALGEBRA$$x0022-4049 000133139 8564_ $$s468552$$uhttps://zaguan.unizar.es/record/133139/files/texto_completo.pdf$$yVersión publicada 000133139 8564_ $$s1756363$$uhttps://zaguan.unizar.es/record/133139/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000133139 909CO $$ooai:zaguan.unizar.es:133139$$particulos$$pdriver 000133139 951__ $$a2024-03-22-09:47:39 000133139 980__ $$aARTICLE